What is the Greatest Common Factor of 61120 and 61138?

Greatest common factor (GCF) of 61120 and 61138 is 2.

GCF(61120,61138) = 2

We will now calculate the prime factors of 61120 and 61138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61120 and 61138.

How to find the GCF of 61120 and 61138?

We will first find the prime factorization of 61120 and 61138. After we will calculate the factors of 61120 and 61138 and find the biggest common factor number .

Step-1: Prime Factorization of 61120

Prime factors of 61120 are 2, 5, 191. Prime factorization of 61120 in exponential form is:

61120 = 2⁶ × 5¹ × 191¹

Step-2: Prime Factorization of 61138

Prime factors of 61138 are 2, 7, 11, 397. Prime factorization of 61138 in exponential form is:

61138 = 2¹ × 7¹ × 11¹ × 397¹

Step-3: Factors of 61120

List of positive integer factors of 61120 that divides 61120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 191, 320, 382, 764, 955, 1528, 1910, 3056, 3820, 6112, 7640, 12224, 15280, 30560

Step-4: Factors of 61138

List of positive integer factors of 61138 that divides 61120 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 397, 794, 2779, 4367, 5558, 8734, 30569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61120 and 61138. The biggest common factor number is the GCF number.
So the greatest common factor 61120 and 61138 is 2.

Also check out the Least Common Multiple of 61120 and 61138