What is the Greatest Common Factor of 65618 and 65625?

Greatest common factor (GCF) of 65618 and 65625 is 7.

GCF(65618,65625) = 7

We will now calculate the prime factors of 65618 and 65625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65618 and 65625.

How to find the GCF of 65618 and 65625?

We will first find the prime factorization of 65618 and 65625. After we will calculate the factors of 65618 and 65625 and find the biggest common factor number .

Step-1: Prime Factorization of 65618

Prime factors of 65618 are 2, 7, 43, 109. Prime factorization of 65618 in exponential form is:

65618 = 2¹ × 7¹ × 43¹ × 109¹

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 65618

List of positive integer factors of 65618 that divides 65618 without a remainder.

1, 2, 7, 14, 43, 86, 109, 218, 301, 602, 763, 1526, 4687, 9374, 32809

Step-4: Factors of 65625

List of positive integer factors of 65625 that divides 65618 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 65618 and 65625. The biggest common factor number is the GCF number.
So the greatest common factor 65618 and 65625 is 7.

Also check out the Least Common Multiple of 65618 and 65625