What is the Greatest Common Factor of 61625 and 61643?

Greatest common factor (GCF) of 61625 and 61643 is 1.

GCF(61625,61643) = 1

We will now calculate the prime factors of 61625 and 61643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61625 and 61643.

How to find the GCF of 61625 and 61643?

We will first find the prime factorization of 61625 and 61643. After we will calculate the factors of 61625 and 61643 and find the biggest common factor number .

Step-1: Prime Factorization of 61625

Prime factors of 61625 are 5, 17, 29. Prime factorization of 61625 in exponential form is:

61625 = 5³ × 17¹ × 29¹

Step-2: Prime Factorization of 61643

Prime factors of 61643 are 61643. Prime factorization of 61643 in exponential form is:

61643 = 61643¹

Step-3: Factors of 61625

List of positive integer factors of 61625 that divides 61625 without a remainder.

1, 5, 17, 25, 29, 85, 125, 145, 425, 493, 725, 2125, 2465, 3625, 12325

Step-4: Factors of 61643

List of positive integer factors of 61643 that divides 61625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61625 and 61643. The biggest common factor number is the GCF number.
So the greatest common factor 61625 and 61643 is 1.

Also check out the Least Common Multiple of 61625 and 61643