What is the Greatest Common Factor of 69980 and 69995?

Greatest common factor (GCF) of 69980 and 69995 is 5.

GCF(69980,69995) = 5

We will now calculate the prime factors of 69980 and 69995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69980 and 69995.

How to find the GCF of 69980 and 69995?

We will first find the prime factorization of 69980 and 69995. After we will calculate the factors of 69980 and 69995 and find the biggest common factor number .

Step-1: Prime Factorization of 69980

Prime factors of 69980 are 2, 5, 3499. Prime factorization of 69980 in exponential form is:

69980 = 2² × 5¹ × 3499¹

Step-2: Prime Factorization of 69995

Prime factors of 69995 are 5, 13999. Prime factorization of 69995 in exponential form is:

69995 = 5¹ × 13999¹

Step-3: Factors of 69980

List of positive integer factors of 69980 that divides 69980 without a remainder.

1, 2, 4, 5, 10, 20, 3499, 6998, 13996, 17495, 34990

Step-4: Factors of 69995

List of positive integer factors of 69995 that divides 69980 without a remainder.

1, 5, 13999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69980 and 69995. The biggest common factor number is the GCF number.
So the greatest common factor 69980 and 69995 is 5.

Also check out the Least Common Multiple of 69980 and 69995