What is the Greatest Common Factor of 62618 and 62624?

Greatest common factor (GCF) of 62618 and 62624 is 2.

GCF(62618,62624) = 2

We will now calculate the prime factors of 62618 and 62624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62618 and 62624.

How to find the GCF of 62618 and 62624?

We will first find the prime factorization of 62618 and 62624. After we will calculate the factors of 62618 and 62624 and find the biggest common factor number .

Step-1: Prime Factorization of 62618

Prime factors of 62618 are 2, 131, 239. Prime factorization of 62618 in exponential form is:

62618 = 2¹ × 131¹ × 239¹

Step-2: Prime Factorization of 62624

Prime factors of 62624 are 2, 19, 103. Prime factorization of 62624 in exponential form is:

62624 = 2⁵ × 19¹ × 103¹

Step-3: Factors of 62618

List of positive integer factors of 62618 that divides 62618 without a remainder.

1, 2, 131, 239, 262, 478, 31309

Step-4: Factors of 62624

List of positive integer factors of 62624 that divides 62618 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 103, 152, 206, 304, 412, 608, 824, 1648, 1957, 3296, 3914, 7828, 15656, 31312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62618 and 62624. The biggest common factor number is the GCF number.
So the greatest common factor 62618 and 62624 is 2.

Also check out the Least Common Multiple of 62618 and 62624