What is the Greatest Common Factor of 61920 and 61934?

Greatest common factor (GCF) of 61920 and 61934 is 2.

GCF(61920,61934) = 2

We will now calculate the prime factors of 61920 and 61934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61920 and 61934.

How to find the GCF of 61920 and 61934?

We will first find the prime factorization of 61920 and 61934. After we will calculate the factors of 61920 and 61934 and find the biggest common factor number .

Step-1: Prime Factorization of 61920

Prime factors of 61920 are 2, 3, 5, 43. Prime factorization of 61920 in exponential form is:

61920 = 2⁵ × 3² × 5¹ × 43¹

Step-2: Prime Factorization of 61934

Prime factors of 61934 are 2, 173, 179. Prime factorization of 61934 in exponential form is:

61934 = 2¹ × 173¹ × 179¹

Step-3: Factors of 61920

List of positive integer factors of 61920 that divides 61920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 43, 45, 48, 60, 72, 80, 86, 90, 96, 120, 129, 144, 160, 172, 180, 215, 240, 258, 288, 344, 360, 387, 430, 480, 516, 645, 688, 720, 774, 860, 1032, 1290, 1376, 1440, 1548, 1720, 1935, 2064, 2580, 3096, 3440, 3870, 4128, 5160, 6192, 6880, 7740, 10320, 12384, 15480, 20640, 30960

Step-4: Factors of 61934

List of positive integer factors of 61934 that divides 61920 without a remainder.

1, 2, 173, 179, 346, 358, 30967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61920 and 61934. The biggest common factor number is the GCF number.
So the greatest common factor 61920 and 61934 is 2.

Also check out the Least Common Multiple of 61920 and 61934