What is the Greatest Common Factor of 61282 and 61295?

Greatest common factor (GCF) of 61282 and 61295 is 13.

GCF(61282,61295) = 13

We will now calculate the prime factors of 61282 and 61295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61282 and 61295.

How to find the GCF of 61282 and 61295?

We will first find the prime factorization of 61282 and 61295. After we will calculate the factors of 61282 and 61295 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61295

Prime factors of 61295 are 5, 13, 23, 41. Prime factorization of 61295 in exponential form is:

61295 = 5¹ × 13¹ × 23¹ × 41¹

Step-3: Factors of 61282

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

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

Step-4: Factors of 61295

List of positive integer factors of 61295 that divides 61282 without a remainder.

1, 5, 13, 23, 41, 65, 115, 205, 299, 533, 943, 1495, 2665, 4715, 12259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61282 and 61295. The biggest common factor number is the GCF number.
So the greatest common factor 61282 and 61295 is 13.

Also check out the Least Common Multiple of 61282 and 61295