What is the Greatest Common Factor of 70604 and 70623?

Greatest common factor (GCF) of 70604 and 70623 is 19.

GCF(70604,70623) = 19

We will now calculate the prime factors of 70604 and 70623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70604 and 70623.

How to find the GCF of 70604 and 70623?

We will first find the prime factorization of 70604 and 70623. After we will calculate the factors of 70604 and 70623 and find the biggest common factor number .

Step-1: Prime Factorization of 70604

Prime factors of 70604 are 2, 19, 929. Prime factorization of 70604 in exponential form is:

70604 = 2² × 19¹ × 929¹

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 70604

List of positive integer factors of 70604 that divides 70604 without a remainder.

1, 2, 4, 19, 38, 76, 929, 1858, 3716, 17651, 35302

Step-4: Factors of 70623

List of positive integer factors of 70623 that divides 70604 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 70604 and 70623. The biggest common factor number is the GCF number.
So the greatest common factor 70604 and 70623 is 19.

Also check out the Least Common Multiple of 70604 and 70623