What is the Greatest Common Factor of 61838 and 61858?

Greatest common factor (GCF) of 61838 and 61858 is 2.

GCF(61838,61858) = 2

We will now calculate the prime factors of 61838 and 61858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61838 and 61858.

How to find the GCF of 61838 and 61858?

We will first find the prime factorization of 61838 and 61858. After we will calculate the factors of 61838 and 61858 and find the biggest common factor number .

Step-1: Prime Factorization of 61838

Prime factors of 61838 are 2, 7, 631. Prime factorization of 61838 in exponential form is:

61838 = 2¹ × 7² × 631¹

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 61838

List of positive integer factors of 61838 that divides 61838 without a remainder.

1, 2, 7, 14, 49, 98, 631, 1262, 4417, 8834, 30919

Step-4: Factors of 61858

List of positive integer factors of 61858 that divides 61838 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61838 and 61858. The biggest common factor number is the GCF number.
So the greatest common factor 61838 and 61858 is 2.

Also check out the Least Common Multiple of 61838 and 61858