What is the Greatest Common Factor of 47050 and 47070?

Greatest common factor (GCF) of 47050 and 47070 is 10.

GCF(47050,47070) = 10

We will now calculate the prime factors of 47050 and 47070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47050 and 47070.

How to find the GCF of 47050 and 47070?

We will first find the prime factorization of 47050 and 47070. After we will calculate the factors of 47050 and 47070 and find the biggest common factor number .

Step-1: Prime Factorization of 47050

Prime factors of 47050 are 2, 5, 941. Prime factorization of 47050 in exponential form is:

47050 = 2¹ × 5² × 941¹

Step-2: Prime Factorization of 47070

Prime factors of 47070 are 2, 3, 5, 523. Prime factorization of 47070 in exponential form is:

47070 = 2¹ × 3² × 5¹ × 523¹

Step-3: Factors of 47050

List of positive integer factors of 47050 that divides 47050 without a remainder.

1, 2, 5, 10, 25, 50, 941, 1882, 4705, 9410, 23525

Step-4: Factors of 47070

List of positive integer factors of 47070 that divides 47050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 523, 1046, 1569, 2615, 3138, 4707, 5230, 7845, 9414, 15690, 23535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47050 and 47070. The biggest common factor number is the GCF number.
So the greatest common factor 47050 and 47070 is 10.

Also check out the Least Common Multiple of 47050 and 47070