What is the Greatest Common Factor of 61264 and 61282?

Greatest common factor (GCF) of 61264 and 61282 is 2.

GCF(61264,61282) = 2

We will now calculate the prime factors of 61264 and 61282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61264 and 61282.

How to find the GCF of 61264 and 61282?

We will first find the prime factorization of 61264 and 61282. After we will calculate the factors of 61264 and 61282 and find the biggest common factor number .

Step-1: Prime Factorization of 61264

Prime factors of 61264 are 2, 7, 547. Prime factorization of 61264 in exponential form is:

61264 = 2⁴ × 7¹ × 547¹

Step-2: Prime Factorization of 61282

Prime factors of 61282 are 2, 13, 2357. Prime factorization of 61282 in exponential form is:

61282 = 2¹ × 13¹ × 2357¹

Step-3: Factors of 61264

List of positive integer factors of 61264 that divides 61264 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 547, 1094, 2188, 3829, 4376, 7658, 8752, 15316, 30632

Step-4: Factors of 61282

List of positive integer factors of 61282 that divides 61264 without a remainder.

1, 2, 13, 26, 2357, 4714, 30641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61264 and 61282. The biggest common factor number is the GCF number.
So the greatest common factor 61264 and 61282 is 2.

Also check out the Least Common Multiple of 61264 and 61282