What is the Greatest Common Factor of 70620 and 70628?

Greatest common factor (GCF) of 70620 and 70628 is 4.

GCF(70620,70628) = 4

We will now calculate the prime factors of 70620 and 70628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70620 and 70628.

How to find the GCF of 70620 and 70628?

We will first find the prime factorization of 70620 and 70628. After we will calculate the factors of 70620 and 70628 and find the biggest common factor number .

Step-1: Prime Factorization of 70620

Prime factors of 70620 are 2, 3, 5, 11, 107. Prime factorization of 70620 in exponential form is:

70620 = 2² × 3¹ × 5¹ × 11¹ × 107¹

Step-2: Prime Factorization of 70628

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

70628 = 2² × 17657¹

Step-3: Factors of 70620

List of positive integer factors of 70620 that divides 70620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 107, 110, 132, 165, 214, 220, 321, 330, 428, 535, 642, 660, 1070, 1177, 1284, 1605, 2140, 2354, 3210, 3531, 4708, 5885, 6420, 7062, 11770, 14124, 17655, 23540, 35310

Step-4: Factors of 70628

List of positive integer factors of 70628 that divides 70620 without a remainder.

1, 2, 4, 17657, 35314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70620 and 70628. The biggest common factor number is the GCF number.
So the greatest common factor 70620 and 70628 is 4.

Also check out the Least Common Multiple of 70620 and 70628