What is the Greatest Common Factor of 70628 and 70641?

Greatest common factor (GCF) of 70628 and 70641 is 1.

GCF(70628,70641) = 1

We will now calculate the prime factors of 70628 and 70641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70628 and 70641.

How to find the GCF of 70628 and 70641?

We will first find the prime factorization of 70628 and 70641. After we will calculate the factors of 70628 and 70641 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 70641

Prime factors of 70641 are 3, 47, 167. Prime factorization of 70641 in exponential form is:

70641 = 3² × 47¹ × 167¹

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 70641

List of positive integer factors of 70641 that divides 70628 without a remainder.

1, 3, 9, 47, 141, 167, 423, 501, 1503, 7849, 23547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70628 and 70641. The biggest common factor number is the GCF number.
So the greatest common factor 70628 and 70641 is 1.

Also check out the Least Common Multiple of 70628 and 70641