What is the Greatest Common Factor of 95537 and 95550?

Greatest common factor (GCF) of 95537 and 95550 is 13.

GCF(95537,95550) = 13

We will now calculate the prime factors of 95537 and 95550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95537 and 95550.

How to find the GCF of 95537 and 95550?

We will first find the prime factorization of 95537 and 95550. After we will calculate the factors of 95537 and 95550 and find the biggest common factor number .

Step-1: Prime Factorization of 95537

Prime factors of 95537 are 13, 7349. Prime factorization of 95537 in exponential form is:

95537 = 13¹ × 7349¹

Step-2: Prime Factorization of 95550

Prime factors of 95550 are 2, 3, 5, 7, 13. Prime factorization of 95550 in exponential form is:

95550 = 2¹ × 3¹ × 5² × 7² × 13¹

Step-3: Factors of 95537

List of positive integer factors of 95537 that divides 95537 without a remainder.

1, 13, 7349

Step-4: Factors of 95550

List of positive integer factors of 95550 that divides 95537 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 25, 26, 30, 35, 39, 42, 49, 50, 65, 70, 75, 78, 91, 98, 105, 130, 147, 150, 175, 182, 195, 210, 245, 273, 294, 325, 350, 390, 455, 490, 525, 546, 637, 650, 735, 910, 975, 1050, 1225, 1274, 1365, 1470, 1911, 1950, 2275, 2450, 2730, 3185, 3675, 3822, 4550, 6370, 6825, 7350, 9555, 13650, 15925, 19110, 31850, 47775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95537 and 95550. The biggest common factor number is the GCF number.
So the greatest common factor 95537 and 95550 is 13.

Also check out the Least Common Multiple of 95537 and 95550