What is the Greatest Common Factor of 61948 and 61963?

Greatest common factor (GCF) of 61948 and 61963 is 1.

GCF(61948,61963) = 1

We will now calculate the prime factors of 61948 and 61963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61948 and 61963.

How to find the GCF of 61948 and 61963?

We will first find the prime factorization of 61948 and 61963. After we will calculate the factors of 61948 and 61963 and find the biggest common factor number .

Step-1: Prime Factorization of 61948

Prime factors of 61948 are 2, 17, 911. Prime factorization of 61948 in exponential form is:

61948 = 2² × 17¹ × 911¹

Step-2: Prime Factorization of 61963

Prime factors of 61963 are 11, 43, 131. Prime factorization of 61963 in exponential form is:

61963 = 11¹ × 43¹ × 131¹

Step-3: Factors of 61948

List of positive integer factors of 61948 that divides 61948 without a remainder.

1, 2, 4, 17, 34, 68, 911, 1822, 3644, 15487, 30974

Step-4: Factors of 61963

List of positive integer factors of 61963 that divides 61948 without a remainder.

1, 11, 43, 131, 473, 1441, 5633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61948 and 61963. The biggest common factor number is the GCF number.
So the greatest common factor 61948 and 61963 is 1.

Also check out the Least Common Multiple of 61948 and 61963