What is the Greatest Common Factor of 61236 and 61249?

Greatest common factor (GCF) of 61236 and 61249 is 1.

GCF(61236,61249) = 1

We will now calculate the prime factors of 61236 and 61249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61236 and 61249.

How to find the GCF of 61236 and 61249?

We will first find the prime factorization of 61236 and 61249. After we will calculate the factors of 61236 and 61249 and find the biggest common factor number .

Step-1: Prime Factorization of 61236

Prime factors of 61236 are 2, 3, 7. Prime factorization of 61236 in exponential form is:

61236 = 2² × 3⁷ × 7¹

Step-2: Prime Factorization of 61249

Prime factors of 61249 are 23, 2663. Prime factorization of 61249 in exponential form is:

61249 = 23¹ × 2663¹

Step-3: Factors of 61236

List of positive integer factors of 61236 that divides 61236 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 729, 756, 972, 1134, 1458, 1701, 2187, 2268, 2916, 3402, 4374, 5103, 6804, 8748, 10206, 15309, 20412, 30618

Step-4: Factors of 61249

List of positive integer factors of 61249 that divides 61236 without a remainder.

1, 23, 2663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61236 and 61249. The biggest common factor number is the GCF number.
So the greatest common factor 61236 and 61249 is 1.

Also check out the Least Common Multiple of 61236 and 61249