What is the Greatest Common Factor of 79952 and 79969?

Greatest common factor (GCF) of 79952 and 79969 is 1.

GCF(79952,79969) = 1

We will now calculate the prime factors of 79952 and 79969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79952 and 79969.

How to find the GCF of 79952 and 79969?

We will first find the prime factorization of 79952 and 79969. After we will calculate the factors of 79952 and 79969 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 79969

Prime factors of 79969 are 211, 379. Prime factorization of 79969 in exponential form is:

79969 = 211¹ × 379¹

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 79969

List of positive integer factors of 79969 that divides 79952 without a remainder.

1, 211, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79952 and 79969. The biggest common factor number is the GCF number.
So the greatest common factor 79952 and 79969 is 1.

Also check out the Least Common Multiple of 79952 and 79969