What is the Greatest Common Factor of 39550 and 39564?

Greatest common factor (GCF) of 39550 and 39564 is 14.

GCF(39550,39564) = 14

We will now calculate the prime factors of 39550 and 39564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39550 and 39564.

How to find the GCF of 39550 and 39564?

We will first find the prime factorization of 39550 and 39564. After we will calculate the factors of 39550 and 39564 and find the biggest common factor number .

Step-1: Prime Factorization of 39550

Prime factors of 39550 are 2, 5, 7, 113. Prime factorization of 39550 in exponential form is:

39550 = 2¹ × 5² × 7¹ × 113¹

Step-2: Prime Factorization of 39564

Prime factors of 39564 are 2, 3, 7, 157. Prime factorization of 39564 in exponential form is:

39564 = 2² × 3² × 7¹ × 157¹

Step-3: Factors of 39550

List of positive integer factors of 39550 that divides 39550 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 113, 175, 226, 350, 565, 791, 1130, 1582, 2825, 3955, 5650, 7910, 19775

Step-4: Factors of 39564

List of positive integer factors of 39564 that divides 39550 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 157, 252, 314, 471, 628, 942, 1099, 1413, 1884, 2198, 2826, 3297, 4396, 5652, 6594, 9891, 13188, 19782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39550 and 39564. The biggest common factor number is the GCF number.
So the greatest common factor 39550 and 39564 is 14.

Also check out the Least Common Multiple of 39550 and 39564