What is the Greatest Common Factor of 79952 and 79970?

Greatest common factor (GCF) of 79952 and 79970 is 2.

GCF(79952,79970) = 2

We will now calculate the prime factors of 79952 and 79970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79952 and 79970.

How to find the GCF of 79952 and 79970?

We will first find the prime factorization of 79952 and 79970. After we will calculate the factors of 79952 and 79970 and find the biggest common factor number .

Step-1: Prime Factorization of 79952

Prime factors of 79952 are 2, 19, 263. Prime factorization of 79952 in exponential form is:

79952 = 2⁴ × 19¹ × 263¹

Step-2: Prime Factorization of 79970

Prime factors of 79970 are 2, 5, 11, 727. Prime factorization of 79970 in exponential form is:

79970 = 2¹ × 5¹ × 11¹ × 727¹

Step-3: Factors of 79952

List of positive integer factors of 79952 that divides 79952 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 263, 304, 526, 1052, 2104, 4208, 4997, 9994, 19988, 39976

Step-4: Factors of 79970

List of positive integer factors of 79970 that divides 79952 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 727, 1454, 3635, 7270, 7997, 15994, 39985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79952 and 79970. The biggest common factor number is the GCF number.
So the greatest common factor 79952 and 79970 is 2.

Also check out the Least Common Multiple of 79952 and 79970