What is the Greatest Common Factor of 520 and 525?
Greatest common factor (GCF) of 520 and 525 is 5.
GCF(520,525) = 5
We will now calculate the prime factors of 520 and 525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 520 and 525.
How to find the GCF of 520 and 525?
We will first find the prime factorization of 520 and 525. After we will calculate the factors of 520 and 525 and find the biggest common factor number .
Step-1: Prime Factorization of 520
Prime factors of 520 are 2, 5, 13. Prime factorization of 520 in exponential form is:
520 = 23 × 51 × 131
Step-2: Prime Factorization of 525
Prime factors of 525 are 3, 5, 7. Prime factorization of 525 in exponential form is:
525 = 31 × 52 × 71
Step-3: Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260
Step-4: Factors of 525
List of positive integer factors of 525 that divides 520 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 520 and 525. The biggest common factor number is the GCF number.
So the greatest common factor 520 and 525 is 5.
Also check out the Least Common Multiple of 520 and 525
Related Greatest Common Factors of 520
- GCF of 520 and 524
- GCF of 520 and 525
- GCF of 520 and 526
- GCF of 520 and 527
- GCF of 520 and 528
- GCF of 520 and 529
- GCF of 520 and 530
- GCF of 520 and 531
- GCF of 520 and 532
- GCF of 520 and 533
- GCF of 520 and 534
- GCF of 520 and 535
- GCF of 520 and 536
- GCF of 520 and 537
- GCF of 520 and 538
- GCF of 520 and 539
- GCF of 520 and 540
Related Greatest Common Factors of 525
- GCF of 525 and 529
- GCF of 525 and 530
- GCF of 525 and 531
- GCF of 525 and 532
- GCF of 525 and 533
- GCF of 525 and 534
- GCF of 525 and 535
- GCF of 525 and 536
- GCF of 525 and 537
- GCF of 525 and 538
- GCF of 525 and 539
- GCF of 525 and 540
- GCF of 525 and 541
- GCF of 525 and 542
- GCF of 525 and 543
- GCF of 525 and 544
- GCF of 525 and 545