What is the Greatest Common Factor of 70623 and 70635?

Greatest common factor (GCF) of 70623 and 70635 is 3.

GCF(70623,70635) = 3

We will now calculate the prime factors of 70623 and 70635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70623 and 70635.

How to find the GCF of 70623 and 70635?

We will first find the prime factorization of 70623 and 70635. After we will calculate the factors of 70623 and 70635 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70635

Prime factors of 70635 are 3, 5, 17, 277. Prime factorization of 70635 in exponential form is:

70635 = 3¹ × 5¹ × 17¹ × 277¹

Step-3: Factors of 70623

List of positive integer factors of 70623 that divides 70623 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

Step-4: Factors of 70635

List of positive integer factors of 70635 that divides 70623 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 277, 831, 1385, 4155, 4709, 14127, 23545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70623 and 70635. The biggest common factor number is the GCF number.
So the greatest common factor 70623 and 70635 is 3.

Also check out the Least Common Multiple of 70623 and 70635