What is the Greatest Common Factor of 70564 and 70577?

Greatest common factor (GCF) of 70564 and 70577 is 13.

GCF(70564,70577) = 13

We will now calculate the prime factors of 70564 and 70577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70564 and 70577.

How to find the GCF of 70564 and 70577?

We will first find the prime factorization of 70564 and 70577. After we will calculate the factors of 70564 and 70577 and find the biggest common factor number .

Step-1: Prime Factorization of 70564

Prime factors of 70564 are 2, 13, 23, 59. Prime factorization of 70564 in exponential form is:

70564 = 2² × 13¹ × 23¹ × 59¹

Step-2: Prime Factorization of 70577

Prime factors of 70577 are 13, 61, 89. Prime factorization of 70577 in exponential form is:

70577 = 13¹ × 61¹ × 89¹

Step-3: Factors of 70564

List of positive integer factors of 70564 that divides 70564 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 59, 92, 118, 236, 299, 598, 767, 1196, 1357, 1534, 2714, 3068, 5428, 17641, 35282

Step-4: Factors of 70577

List of positive integer factors of 70577 that divides 70564 without a remainder.

1, 13, 61, 89, 793, 1157, 5429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70564 and 70577. The biggest common factor number is the GCF number.
So the greatest common factor 70564 and 70577 is 13.

Also check out the Least Common Multiple of 70564 and 70577