What is the Greatest Common Factor of 61233 and 61250?

Greatest common factor (GCF) of 61233 and 61250 is 1.

GCF(61233,61250) = 1

We will now calculate the prime factors of 61233 and 61250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61233 and 61250.

How to find the GCF of 61233 and 61250?

We will first find the prime factorization of 61233 and 61250. After we will calculate the factors of 61233 and 61250 and find the biggest common factor number .

Step-1: Prime Factorization of 61233

Prime factors of 61233 are 3, 20411. Prime factorization of 61233 in exponential form is:

61233 = 3¹ × 20411¹

Step-2: Prime Factorization of 61250

Prime factors of 61250 are 2, 5, 7. Prime factorization of 61250 in exponential form is:

61250 = 2¹ × 5⁴ × 7²

Step-3: Factors of 61233

List of positive integer factors of 61233 that divides 61233 without a remainder.

1, 3, 20411

Step-4: Factors of 61250

List of positive integer factors of 61250 that divides 61233 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250, 350, 490, 625, 875, 1225, 1250, 1750, 2450, 4375, 6125, 8750, 12250, 30625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61233 and 61250. The biggest common factor number is the GCF number.
So the greatest common factor 61233 and 61250 is 1.

Also check out the Least Common Multiple of 61233 and 61250