What is the Greatest Common Factor of 61610 and 61624?

Greatest common factor (GCF) of 61610 and 61624 is 2.

GCF(61610,61624) = 2

We will now calculate the prime factors of 61610 and 61624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61610 and 61624.

How to find the GCF of 61610 and 61624?

We will first find the prime factorization of 61610 and 61624. After we will calculate the factors of 61610 and 61624 and find the biggest common factor number .

Step-1: Prime Factorization of 61610

Prime factors of 61610 are 2, 5, 61, 101. Prime factorization of 61610 in exponential form is:

61610 = 2¹ × 5¹ × 61¹ × 101¹

Step-2: Prime Factorization of 61624

Prime factors of 61624 are 2, 7703. Prime factorization of 61624 in exponential form is:

61624 = 2³ × 7703¹

Step-3: Factors of 61610

List of positive integer factors of 61610 that divides 61610 without a remainder.

1, 2, 5, 10, 61, 101, 122, 202, 305, 505, 610, 1010, 6161, 12322, 30805

Step-4: Factors of 61624

List of positive integer factors of 61624 that divides 61610 without a remainder.

1, 2, 4, 8, 7703, 15406, 30812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61610 and 61624. The biggest common factor number is the GCF number.
So the greatest common factor 61610 and 61624 is 2.

Also check out the Least Common Multiple of 61610 and 61624