What is the Greatest Common Factor of 70100 and 70120?

Greatest common factor (GCF) of 70100 and 70120 is 20.

GCF(70100,70120) = 20

We will now calculate the prime factors of 70100 and 70120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70100 and 70120.

How to find the GCF of 70100 and 70120?

We will first find the prime factorization of 70100 and 70120. After we will calculate the factors of 70100 and 70120 and find the biggest common factor number .

Step-1: Prime Factorization of 70100

Prime factors of 70100 are 2, 5, 701. Prime factorization of 70100 in exponential form is:

70100 = 2² × 5² × 701¹

Step-2: Prime Factorization of 70120

Prime factors of 70120 are 2, 5, 1753. Prime factorization of 70120 in exponential form is:

70120 = 2³ × 5¹ × 1753¹

Step-3: Factors of 70100

List of positive integer factors of 70100 that divides 70100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 701, 1402, 2804, 3505, 7010, 14020, 17525, 35050

Step-4: Factors of 70120

List of positive integer factors of 70120 that divides 70100 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1753, 3506, 7012, 8765, 14024, 17530, 35060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70100 and 70120. The biggest common factor number is the GCF number.
So the greatest common factor 70100 and 70120 is 20.

Also check out the Least Common Multiple of 70100 and 70120