What is the Greatest Common Factor of 59420 and 59436?

Greatest common factor (GCF) of 59420 and 59436 is 4.

GCF(59420,59436) = 4

We will now calculate the prime factors of 59420 and 59436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59420 and 59436.

How to find the GCF of 59420 and 59436?

We will first find the prime factorization of 59420 and 59436. After we will calculate the factors of 59420 and 59436 and find the biggest common factor number .

Step-1: Prime Factorization of 59420

Prime factors of 59420 are 2, 5, 2971. Prime factorization of 59420 in exponential form is:

59420 = 2² × 5¹ × 2971¹

Step-2: Prime Factorization of 59436

Prime factors of 59436 are 2, 3, 13, 127. Prime factorization of 59436 in exponential form is:

59436 = 2² × 3² × 13¹ × 127¹

Step-3: Factors of 59420

List of positive integer factors of 59420 that divides 59420 without a remainder.

1, 2, 4, 5, 10, 20, 2971, 5942, 11884, 14855, 29710

Step-4: Factors of 59436

List of positive integer factors of 59436 that divides 59420 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 127, 156, 234, 254, 381, 468, 508, 762, 1143, 1524, 1651, 2286, 3302, 4572, 4953, 6604, 9906, 14859, 19812, 29718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59420 and 59436. The biggest common factor number is the GCF number.
So the greatest common factor 59420 and 59436 is 4.

Also check out the Least Common Multiple of 59420 and 59436