What is the Greatest Common Factor of 47950 and 47970?

Greatest common factor (GCF) of 47950 and 47970 is 10.

GCF(47950,47970) = 10

We will now calculate the prime factors of 47950 and 47970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47950 and 47970.

How to find the GCF of 47950 and 47970?

We will first find the prime factorization of 47950 and 47970. After we will calculate the factors of 47950 and 47970 and find the biggest common factor number .

Step-1: Prime Factorization of 47950

Prime factors of 47950 are 2, 5, 7, 137. Prime factorization of 47950 in exponential form is:

47950 = 2¹ × 5² × 7¹ × 137¹

Step-2: Prime Factorization of 47970

Prime factors of 47970 are 2, 3, 5, 13, 41. Prime factorization of 47970 in exponential form is:

47970 = 2¹ × 3² × 5¹ × 13¹ × 41¹

Step-3: Factors of 47950

List of positive integer factors of 47950 that divides 47950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 137, 175, 274, 350, 685, 959, 1370, 1918, 3425, 4795, 6850, 9590, 23975

Step-4: Factors of 47970

List of positive integer factors of 47970 that divides 47950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 41, 45, 65, 78, 82, 90, 117, 123, 130, 195, 205, 234, 246, 369, 390, 410, 533, 585, 615, 738, 1066, 1170, 1230, 1599, 1845, 2665, 3198, 3690, 4797, 5330, 7995, 9594, 15990, 23985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47950 and 47970. The biggest common factor number is the GCF number.
So the greatest common factor 47950 and 47970 is 10.

Also check out the Least Common Multiple of 47950 and 47970