What is the Greatest Common Factor of 70524 and 70536?

Greatest common factor (GCF) of 70524 and 70536 is 12.

GCF(70524,70536) = 12

We will now calculate the prime factors of 70524 and 70536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70524 and 70536.

How to find the GCF of 70524 and 70536?

We will first find the prime factorization of 70524 and 70536. After we will calculate the factors of 70524 and 70536 and find the biggest common factor number .

Step-1: Prime Factorization of 70524

Prime factors of 70524 are 2, 3, 653. Prime factorization of 70524 in exponential form is:

70524 = 2² × 3³ × 653¹

Step-2: Prime Factorization of 70536

Prime factors of 70536 are 2, 3, 2939. Prime factorization of 70536 in exponential form is:

70536 = 2³ × 3¹ × 2939¹

Step-3: Factors of 70524

List of positive integer factors of 70524 that divides 70524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 653, 1306, 1959, 2612, 3918, 5877, 7836, 11754, 17631, 23508, 35262

Step-4: Factors of 70536

List of positive integer factors of 70536 that divides 70524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2939, 5878, 8817, 11756, 17634, 23512, 35268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70524 and 70536. The biggest common factor number is the GCF number.
So the greatest common factor 70524 and 70536 is 12.

Also check out the Least Common Multiple of 70524 and 70536