What is the Greatest Common Factor of 68742 and 68757?

Greatest common factor (GCF) of 68742 and 68757 is 3.

GCF(68742,68757) = 3

We will now calculate the prime factors of 68742 and 68757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68742 and 68757.

How to find the GCF of 68742 and 68757?

We will first find the prime factorization of 68742 and 68757. After we will calculate the factors of 68742 and 68757 and find the biggest common factor number .

Step-1: Prime Factorization of 68742

Prime factors of 68742 are 2, 3, 19, 67. Prime factorization of 68742 in exponential form is:

68742 = 2¹ × 3³ × 19¹ × 67¹

Step-2: Prime Factorization of 68757

Prime factors of 68757 are 3, 13, 41, 43. Prime factorization of 68757 in exponential form is:

68757 = 3¹ × 13¹ × 41¹ × 43¹

Step-3: Factors of 68742

List of positive integer factors of 68742 that divides 68742 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 67, 114, 134, 171, 201, 342, 402, 513, 603, 1026, 1206, 1273, 1809, 2546, 3618, 3819, 7638, 11457, 22914, 34371

Step-4: Factors of 68757

List of positive integer factors of 68757 that divides 68742 without a remainder.

1, 3, 13, 39, 41, 43, 123, 129, 533, 559, 1599, 1677, 1763, 5289, 22919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68742 and 68757. The biggest common factor number is the GCF number.
So the greatest common factor 68742 and 68757 is 3.

Also check out the Least Common Multiple of 68742 and 68757