What is the Greatest Common Factor of 70564 and 70583?

Greatest common factor (GCF) of 70564 and 70583 is 1.

GCF(70564,70583) = 1

We will now calculate the prime factors of 70564 and 70583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70564 and 70583.

How to find the GCF of 70564 and 70583?

We will first find the prime factorization of 70564 and 70583. After we will calculate the factors of 70564 and 70583 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 70583

Prime factors of 70583 are 70583. Prime factorization of 70583 in exponential form is:

70583 = 70583¹

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 70583

List of positive integer factors of 70583 that divides 70564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70564 and 70583. The biggest common factor number is the GCF number.
So the greatest common factor 70564 and 70583 is 1.

Also check out the Least Common Multiple of 70564 and 70583