What is the Greatest Common Factor of 61840 and 61858?

Greatest common factor (GCF) of 61840 and 61858 is 2.

GCF(61840,61858) = 2

We will now calculate the prime factors of 61840 and 61858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61840 and 61858.

How to find the GCF of 61840 and 61858?

We will first find the prime factorization of 61840 and 61858. After we will calculate the factors of 61840 and 61858 and find the biggest common factor number .

Step-1: Prime Factorization of 61840

Prime factors of 61840 are 2, 5, 773. Prime factorization of 61840 in exponential form is:

61840 = 2⁴ × 5¹ × 773¹

Step-2: Prime Factorization of 61858

Prime factors of 61858 are 2, 157, 197. Prime factorization of 61858 in exponential form is:

61858 = 2¹ × 157¹ × 197¹

Step-3: Factors of 61840

List of positive integer factors of 61840 that divides 61840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 773, 1546, 3092, 3865, 6184, 7730, 12368, 15460, 30920

Step-4: Factors of 61858

List of positive integer factors of 61858 that divides 61840 without a remainder.

1, 2, 157, 197, 314, 394, 30929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61840 and 61858. The biggest common factor number is the GCF number.
So the greatest common factor 61840 and 61858 is 2.

Also check out the Least Common Multiple of 61840 and 61858