What is the Greatest Common Factor of 3125 and 3136?

Greatest common factor (GCF) of 3125 and 3136 is 1.

GCF(3125,3136) = 1

We will now calculate the prime factors of 3125 and 3136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3125 and 3136.

How to find the GCF of 3125 and 3136?

We will first find the prime factorization of 3125 and 3136. After we will calculate the factors of 3125 and 3136 and find the biggest common factor number .

Step-1: Prime Factorization of 3125

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 5⁵

Step-2: Prime Factorization of 3136

Prime factors of 3136 are 2, 7. Prime factorization of 3136 in exponential form is:

3136 = 2⁶ × 7²

Step-3: Factors of 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1, 5, 25, 125, 625

Step-4: Factors of 3136

List of positive integer factors of 3136 that divides 3125 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3125 and 3136. The biggest common factor number is the GCF number.
So the greatest common factor 3125 and 3136 is 1.

Also check out the Least Common Multiple of 3125 and 3136