What is the Greatest Common Factor of 61292 and 61299?

Greatest common factor (GCF) of 61292 and 61299 is 7.

GCF(61292,61299) = 7

We will now calculate the prime factors of 61292 and 61299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61292 and 61299.

How to find the GCF of 61292 and 61299?

We will first find the prime factorization of 61292 and 61299. After we will calculate the factors of 61292 and 61299 and find the biggest common factor number .

Step-1: Prime Factorization of 61292

Prime factors of 61292 are 2, 7, 11, 199. Prime factorization of 61292 in exponential form is:

61292 = 2² × 7¹ × 11¹ × 199¹

Step-2: Prime Factorization of 61299

Prime factors of 61299 are 3, 7, 139. Prime factorization of 61299 in exponential form is:

61299 = 3² × 7² × 139¹

Step-3: Factors of 61292

List of positive integer factors of 61292 that divides 61292 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 199, 308, 398, 796, 1393, 2189, 2786, 4378, 5572, 8756, 15323, 30646

Step-4: Factors of 61299

List of positive integer factors of 61299 that divides 61292 without a remainder.

1, 3, 7, 9, 21, 49, 63, 139, 147, 417, 441, 973, 1251, 2919, 6811, 8757, 20433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61292 and 61299. The biggest common factor number is the GCF number.
So the greatest common factor 61292 and 61299 is 7.

Also check out the Least Common Multiple of 61292 and 61299