What is the Greatest Common Factor of 61348 and 61362?

Greatest common factor (GCF) of 61348 and 61362 is 14.

GCF(61348,61362) = 14

We will now calculate the prime factors of 61348 and 61362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61348 and 61362.

How to find the GCF of 61348 and 61362?

We will first find the prime factorization of 61348 and 61362. After we will calculate the factors of 61348 and 61362 and find the biggest common factor number .

Step-1: Prime Factorization of 61348

Prime factors of 61348 are 2, 7, 313. Prime factorization of 61348 in exponential form is:

61348 = 2² × 7² × 313¹

Step-2: Prime Factorization of 61362

Prime factors of 61362 are 2, 3, 7, 487. Prime factorization of 61362 in exponential form is:

61362 = 2¹ × 3² × 7¹ × 487¹

Step-3: Factors of 61348

List of positive integer factors of 61348 that divides 61348 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 313, 626, 1252, 2191, 4382, 8764, 15337, 30674

Step-4: Factors of 61362

List of positive integer factors of 61362 that divides 61348 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 487, 974, 1461, 2922, 3409, 4383, 6818, 8766, 10227, 20454, 30681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61348 and 61362. The biggest common factor number is the GCF number.
So the greatest common factor 61348 and 61362 is 14.

Also check out the Least Common Multiple of 61348 and 61362