What is the Greatest Common Factor of 70984 and 70998?

Greatest common factor (GCF) of 70984 and 70998 is 2.

GCF(70984,70998) = 2

We will now calculate the prime factors of 70984 and 70998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70984 and 70998.

How to find the GCF of 70984 and 70998?

We will first find the prime factorization of 70984 and 70998. After we will calculate the factors of 70984 and 70998 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 70998

Prime factors of 70998 are 2, 3, 11833. Prime factorization of 70998 in exponential form is:

70998 = 2¹ × 3¹ × 11833¹

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 70998

List of positive integer factors of 70998 that divides 70984 without a remainder.

1, 2, 3, 6, 11833, 23666, 35499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70984 and 70998. The biggest common factor number is the GCF number.
So the greatest common factor 70984 and 70998 is 2.

Also check out the Least Common Multiple of 70984 and 70998