What is the Greatest Common Factor of 5421 and 5436?
Greatest common factor (GCF) of 5421 and 5436 is 3.
GCF(5421,5436) = 3
We will now calculate the prime factors of 5421 and 5436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5421 and 5436.
How to find the GCF of 5421 and 5436?
We will first find the prime factorization of 5421 and 5436. After we will calculate the factors of 5421 and 5436 and find the biggest common factor number .
Step-1: Prime Factorization of 5421
Prime factors of 5421 are 3, 13, 139. Prime factorization of 5421 in exponential form is:
5421 = 31 × 131 × 1391
Step-2: Prime Factorization of 5436
Prime factors of 5436 are 2, 3, 151. Prime factorization of 5436 in exponential form is:
5436 = 22 × 32 × 1511
Step-3: Factors of 5421
List of positive integer factors of 5421 that divides 5421 without a remainder.
1, 3, 13, 39, 139, 417, 1807
Step-4: Factors of 5436
List of positive integer factors of 5436 that divides 5421 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5421 and 5436. The biggest common factor number is the GCF number.
So the greatest common factor 5421 and 5436 is 3.
Also check out the Least Common Multiple of 5421 and 5436
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Related Greatest Common Factors of 5436
- GCF of 5436 and 5440
- GCF of 5436 and 5441
- GCF of 5436 and 5442
- GCF of 5436 and 5443
- GCF of 5436 and 5444
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- GCF of 5436 and 5446
- GCF of 5436 and 5447
- GCF of 5436 and 5448
- GCF of 5436 and 5449
- GCF of 5436 and 5450
- GCF of 5436 and 5451
- GCF of 5436 and 5452
- GCF of 5436 and 5453
- GCF of 5436 and 5454
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- GCF of 5436 and 5456