What is the Greatest Common Factor of 70972 and 70990?

Greatest common factor (GCF) of 70972 and 70990 is 2.

GCF(70972,70990) = 2

We will now calculate the prime factors of 70972 and 70990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70972 and 70990.

How to find the GCF of 70972 and 70990?

We will first find the prime factorization of 70972 and 70990. After we will calculate the factors of 70972 and 70990 and find the biggest common factor number .

Step-1: Prime Factorization of 70972

Prime factors of 70972 are 2, 11, 1613. Prime factorization of 70972 in exponential form is:

70972 = 2² × 11¹ × 1613¹

Step-2: Prime Factorization of 70990

Prime factors of 70990 are 2, 5, 31, 229. Prime factorization of 70990 in exponential form is:

70990 = 2¹ × 5¹ × 31¹ × 229¹

Step-3: Factors of 70972

List of positive integer factors of 70972 that divides 70972 without a remainder.

1, 2, 4, 11, 22, 44, 1613, 3226, 6452, 17743, 35486

Step-4: Factors of 70990

List of positive integer factors of 70990 that divides 70972 without a remainder.

1, 2, 5, 10, 31, 62, 155, 229, 310, 458, 1145, 2290, 7099, 14198, 35495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70972 and 70990. The biggest common factor number is the GCF number.
So the greatest common factor 70972 and 70990 is 2.

Also check out the Least Common Multiple of 70972 and 70990