What is the Greatest Common Factor of 65614 and 65625?

Greatest common factor (GCF) of 65614 and 65625 is 1.

GCF(65614,65625) = 1

We will now calculate the prime factors of 65614 and 65625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65614 and 65625.

How to find the GCF of 65614 and 65625?

We will first find the prime factorization of 65614 and 65625. After we will calculate the factors of 65614 and 65625 and find the biggest common factor number .

Step-1: Prime Factorization of 65614

Prime factors of 65614 are 2, 53, 619. Prime factorization of 65614 in exponential form is:

65614 = 2¹ × 53¹ × 619¹

Step-2: Prime Factorization of 65625

Prime factors of 65625 are 3, 5, 7. Prime factorization of 65625 in exponential form is:

65625 = 3¹ × 5⁵ × 7¹

Step-3: Factors of 65614

List of positive integer factors of 65614 that divides 65614 without a remainder.

1, 2, 53, 106, 619, 1238, 32807

Step-4: Factors of 65625

List of positive integer factors of 65625 that divides 65614 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 3125, 4375, 9375, 13125, 21875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65614 and 65625. The biggest common factor number is the GCF number.
So the greatest common factor 65614 and 65625 is 1.

Also check out the Least Common Multiple of 65614 and 65625