What is the Greatest Common Factor of 70612 and 70623?

Greatest common factor (GCF) of 70612 and 70623 is 1.

GCF(70612,70623) = 1

We will now calculate the prime factors of 70612 and 70623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70612 and 70623.

How to find the GCF of 70612 and 70623?

We will first find the prime factorization of 70612 and 70623. After we will calculate the factors of 70612 and 70623 and find the biggest common factor number .

Step-1: Prime Factorization of 70612

Prime factors of 70612 are 2, 127, 139. Prime factorization of 70612 in exponential form is:

70612 = 2² × 127¹ × 139¹

Step-2: Prime Factorization of 70623

Prime factors of 70623 are 3, 7, 19, 59. Prime factorization of 70623 in exponential form is:

70623 = 3² × 7¹ × 19¹ × 59¹

Step-3: Factors of 70612

List of positive integer factors of 70612 that divides 70612 without a remainder.

1, 2, 4, 127, 139, 254, 278, 508, 556, 17653, 35306

Step-4: Factors of 70623

List of positive integer factors of 70623 that divides 70612 without a remainder.

1, 3, 7, 9, 19, 21, 57, 59, 63, 133, 171, 177, 399, 413, 531, 1121, 1197, 1239, 3363, 3717, 7847, 10089, 23541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70612 and 70623. The biggest common factor number is the GCF number.
So the greatest common factor 70612 and 70623 is 1.

Also check out the Least Common Multiple of 70612 and 70623