What is the Greatest Common Factor of 61930 and 61950?

Greatest common factor (GCF) of 61930 and 61950 is 10.

GCF(61930,61950) = 10

We will now calculate the prime factors of 61930 and 61950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61930 and 61950.

How to find the GCF of 61930 and 61950?

We will first find the prime factorization of 61930 and 61950. After we will calculate the factors of 61930 and 61950 and find the biggest common factor number .

Step-1: Prime Factorization of 61930

Prime factors of 61930 are 2, 5, 11, 563. Prime factorization of 61930 in exponential form is:

61930 = 2¹ × 5¹ × 11¹ × 563¹

Step-2: Prime Factorization of 61950

Prime factors of 61950 are 2, 3, 5, 7, 59. Prime factorization of 61950 in exponential form is:

61950 = 2¹ × 3¹ × 5² × 7¹ × 59¹

Step-3: Factors of 61930

List of positive integer factors of 61930 that divides 61930 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 563, 1126, 2815, 5630, 6193, 12386, 30965

Step-4: Factors of 61950

List of positive integer factors of 61950 that divides 61930 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 59, 70, 75, 105, 118, 150, 175, 177, 210, 295, 350, 354, 413, 525, 590, 826, 885, 1050, 1239, 1475, 1770, 2065, 2478, 2950, 4130, 4425, 6195, 8850, 10325, 12390, 20650, 30975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61930 and 61950. The biggest common factor number is the GCF number.
So the greatest common factor 61930 and 61950 is 10.

Also check out the Least Common Multiple of 61930 and 61950