What is the Greatest Common Factor of 70536 and 70548?

Greatest common factor (GCF) of 70536 and 70548 is 12.

GCF(70536,70548) = 12

We will now calculate the prime factors of 70536 and 70548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70536 and 70548.

How to find the GCF of 70536 and 70548?

We will first find the prime factorization of 70536 and 70548. After we will calculate the factors of 70536 and 70548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70548

Prime factors of 70548 are 2, 3, 5879. Prime factorization of 70548 in exponential form is:

70548 = 2² × 3¹ × 5879¹

Step-3: Factors of 70536

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

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

Step-4: Factors of 70548

List of positive integer factors of 70548 that divides 70536 without a remainder.

1, 2, 3, 4, 6, 12, 5879, 11758, 17637, 23516, 35274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70536 and 70548. The biggest common factor number is the GCF number.
So the greatest common factor 70536 and 70548 is 12.

Also check out the Least Common Multiple of 70536 and 70548