What is the Greatest Common Factor of 61360 and 61378?

Greatest common factor (GCF) of 61360 and 61378 is 2.

GCF(61360,61378) = 2

We will now calculate the prime factors of 61360 and 61378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61360 and 61378.

How to find the GCF of 61360 and 61378?

We will first find the prime factorization of 61360 and 61378. After we will calculate the factors of 61360 and 61378 and find the biggest common factor number .

Step-1: Prime Factorization of 61360

Prime factors of 61360 are 2, 5, 13, 59. Prime factorization of 61360 in exponential form is:

61360 = 2⁴ × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 61378

Prime factors of 61378 are 2, 30689. Prime factorization of 61378 in exponential form is:

61378 = 2¹ × 30689¹

Step-3: Factors of 61360

List of positive integer factors of 61360 that divides 61360 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 59, 65, 80, 104, 118, 130, 208, 236, 260, 295, 472, 520, 590, 767, 944, 1040, 1180, 1534, 2360, 3068, 3835, 4720, 6136, 7670, 12272, 15340, 30680

Step-4: Factors of 61378

List of positive integer factors of 61378 that divides 61360 without a remainder.

1, 2, 30689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61360 and 61378. The biggest common factor number is the GCF number.
So the greatest common factor 61360 and 61378 is 2.

Also check out the Least Common Multiple of 61360 and 61378