What is the Greatest Common Factor of 47940 and 47945?

Greatest common factor (GCF) of 47940 and 47945 is 5.

GCF(47940,47945) = 5

We will now calculate the prime factors of 47940 and 47945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47940 and 47945.

How to find the GCF of 47940 and 47945?

We will first find the prime factorization of 47940 and 47945. After we will calculate the factors of 47940 and 47945 and find the biggest common factor number .

Step-1: Prime Factorization of 47940

Prime factors of 47940 are 2, 3, 5, 17, 47. Prime factorization of 47940 in exponential form is:

47940 = 2² × 3¹ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 47945

Prime factors of 47945 are 5, 43, 223. Prime factorization of 47945 in exponential form is:

47945 = 5¹ × 43¹ × 223¹

Step-3: Factors of 47940

List of positive integer factors of 47940 that divides 47940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 47, 51, 60, 68, 85, 94, 102, 141, 170, 188, 204, 235, 255, 282, 340, 470, 510, 564, 705, 799, 940, 1020, 1410, 1598, 2397, 2820, 3196, 3995, 4794, 7990, 9588, 11985, 15980, 23970

Step-4: Factors of 47945

List of positive integer factors of 47945 that divides 47940 without a remainder.

1, 5, 43, 215, 223, 1115, 9589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47940 and 47945. The biggest common factor number is the GCF number.
So the greatest common factor 47940 and 47945 is 5.

Also check out the Least Common Multiple of 47940 and 47945