What is the Greatest Common Factor of 70628 and 70638?

Greatest common factor (GCF) of 70628 and 70638 is 2.

GCF(70628,70638) = 2

We will now calculate the prime factors of 70628 and 70638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70628 and 70638.

How to find the GCF of 70628 and 70638?

We will first find the prime factorization of 70628 and 70638. After we will calculate the factors of 70628 and 70638 and find the biggest common factor number .

Step-1: Prime Factorization of 70628

Prime factors of 70628 are 2, 17657. Prime factorization of 70628 in exponential form is:

70628 = 2² × 17657¹

Step-2: Prime Factorization of 70638

Prime factors of 70638 are 2, 3, 61, 193. Prime factorization of 70638 in exponential form is:

70638 = 2¹ × 3¹ × 61¹ × 193¹

Step-3: Factors of 70628

List of positive integer factors of 70628 that divides 70628 without a remainder.

1, 2, 4, 17657, 35314

Step-4: Factors of 70638

List of positive integer factors of 70638 that divides 70628 without a remainder.

1, 2, 3, 6, 61, 122, 183, 193, 366, 386, 579, 1158, 11773, 23546, 35319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70628 and 70638. The biggest common factor number is the GCF number.
So the greatest common factor 70628 and 70638 is 2.

Also check out the Least Common Multiple of 70628 and 70638