What is the Greatest Common Factor of 13525 and 13536?
Greatest common factor (GCF) of 13525 and 13536 is 1.
GCF(13525,13536) = 1
We will now calculate the prime factors of 13525 and 13536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13525 and 13536.
How to find the GCF of 13525 and 13536?
We will first find the prime factorization of 13525 and 13536. After we will calculate the factors of 13525 and 13536 and find the biggest common factor number .
Step-1: Prime Factorization of 13525
Prime factors of 13525 are 5, 541. Prime factorization of 13525 in exponential form is:
13525 = 52 × 5411
Step-2: Prime Factorization of 13536
Prime factors of 13536 are 2, 3, 47. Prime factorization of 13536 in exponential form is:
13536 = 25 × 32 × 471
Step-3: Factors of 13525
List of positive integer factors of 13525 that divides 13525 without a remainder.
1, 5, 25, 541, 2705
Step-4: Factors of 13536
List of positive integer factors of 13536 that divides 13525 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 47, 48, 72, 94, 96, 141, 144, 188, 282, 288, 376, 423, 564, 752, 846, 1128, 1504, 1692, 2256, 3384, 4512, 6768
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13525 and 13536. The biggest common factor number is the GCF number.
So the greatest common factor 13525 and 13536 is 1.
Also check out the Least Common Multiple of 13525 and 13536
Related Greatest Common Factors of 13525
- GCF of 13525 and 13529
- GCF of 13525 and 13530
- GCF of 13525 and 13531
- GCF of 13525 and 13532
- GCF of 13525 and 13533
- GCF of 13525 and 13534
- GCF of 13525 and 13535
- GCF of 13525 and 13536
- GCF of 13525 and 13537
- GCF of 13525 and 13538
- GCF of 13525 and 13539
- GCF of 13525 and 13540
- GCF of 13525 and 13541
- GCF of 13525 and 13542
- GCF of 13525 and 13543
- GCF of 13525 and 13544
- GCF of 13525 and 13545
Related Greatest Common Factors of 13536
- GCF of 13536 and 13540
- GCF of 13536 and 13541
- GCF of 13536 and 13542
- GCF of 13536 and 13543
- GCF of 13536 and 13544
- GCF of 13536 and 13545
- GCF of 13536 and 13546
- GCF of 13536 and 13547
- GCF of 13536 and 13548
- GCF of 13536 and 13549
- GCF of 13536 and 13550
- GCF of 13536 and 13551
- GCF of 13536 and 13552
- GCF of 13536 and 13553
- GCF of 13536 and 13554
- GCF of 13536 and 13555
- GCF of 13536 and 13556