What is the Greatest Common Factor of 70984 and 70996?

Greatest common factor (GCF) of 70984 and 70996 is 4.

GCF(70984,70996) = 4

We will now calculate the prime factors of 70984 and 70996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70984 and 70996.

How to find the GCF of 70984 and 70996?

We will first find the prime factorization of 70984 and 70996. After we will calculate the factors of 70984 and 70996 and find the biggest common factor number .

Step-1: Prime Factorization of 70984

Prime factors of 70984 are 2, 19, 467. Prime factorization of 70984 in exponential form is:

70984 = 2³ × 19¹ × 467¹

Step-2: Prime Factorization of 70996

Prime factors of 70996 are 2, 17749. Prime factorization of 70996 in exponential form is:

70996 = 2² × 17749¹

Step-3: Factors of 70984

List of positive integer factors of 70984 that divides 70984 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 467, 934, 1868, 3736, 8873, 17746, 35492

Step-4: Factors of 70996

List of positive integer factors of 70996 that divides 70984 without a remainder.

1, 2, 4, 17749, 35498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70984 and 70996. The biggest common factor number is the GCF number.
So the greatest common factor 70984 and 70996 is 4.

Also check out the Least Common Multiple of 70984 and 70996