What is the Greatest Common Factor of 51935 and 51948?

Greatest common factor (GCF) of 51935 and 51948 is 13.

GCF(51935,51948) = 13

We will now calculate the prime factors of 51935 and 51948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51935 and 51948.

How to find the GCF of 51935 and 51948?

We will first find the prime factorization of 51935 and 51948. After we will calculate the factors of 51935 and 51948 and find the biggest common factor number .

Step-1: Prime Factorization of 51935

Prime factors of 51935 are 5, 13, 17, 47. Prime factorization of 51935 in exponential form is:

51935 = 5¹ × 13¹ × 17¹ × 47¹

Step-2: Prime Factorization of 51948

Prime factors of 51948 are 2, 3, 13, 37. Prime factorization of 51948 in exponential form is:

51948 = 2² × 3³ × 13¹ × 37¹

Step-3: Factors of 51935

List of positive integer factors of 51935 that divides 51935 without a remainder.

1, 5, 13, 17, 47, 65, 85, 221, 235, 611, 799, 1105, 3055, 3995, 10387

Step-4: Factors of 51948

List of positive integer factors of 51948 that divides 51935 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 37, 39, 52, 54, 74, 78, 108, 111, 117, 148, 156, 222, 234, 333, 351, 444, 468, 481, 666, 702, 962, 999, 1332, 1404, 1443, 1924, 1998, 2886, 3996, 4329, 5772, 8658, 12987, 17316, 25974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51935 and 51948. The biggest common factor number is the GCF number.
So the greatest common factor 51935 and 51948 is 13.

Also check out the Least Common Multiple of 51935 and 51948