What is the Greatest Common Factor of 77518 and 77532?

Greatest common factor (GCF) of 77518 and 77532 is 14.

GCF(77518,77532) = 14

We will now calculate the prime factors of 77518 and 77532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77518 and 77532.

How to find the GCF of 77518 and 77532?

We will first find the prime factorization of 77518 and 77532. After we will calculate the factors of 77518 and 77532 and find the biggest common factor number .

Step-1: Prime Factorization of 77518

Prime factors of 77518 are 2, 7, 113. Prime factorization of 77518 in exponential form is:

77518 = 2¹ × 7³ × 113¹

Step-2: Prime Factorization of 77532

Prime factors of 77532 are 2, 3, 7, 13, 71. Prime factorization of 77532 in exponential form is:

77532 = 2² × 3¹ × 7¹ × 13¹ × 71¹

Step-3: Factors of 77518

List of positive integer factors of 77518 that divides 77518 without a remainder.

1, 2, 7, 14, 49, 98, 113, 226, 343, 686, 791, 1582, 5537, 11074, 38759

Step-4: Factors of 77532

List of positive integer factors of 77532 that divides 77518 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 71, 78, 84, 91, 142, 156, 182, 213, 273, 284, 364, 426, 497, 546, 852, 923, 994, 1092, 1491, 1846, 1988, 2769, 2982, 3692, 5538, 5964, 6461, 11076, 12922, 19383, 25844, 38766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77518 and 77532. The biggest common factor number is the GCF number.
So the greatest common factor 77518 and 77532 is 14.

Also check out the Least Common Multiple of 77518 and 77532