What is the Greatest Common Factor of 71554 and 71568?

Greatest common factor (GCF) of 71554 and 71568 is 14.

GCF(71554,71568) = 14

We will now calculate the prime factors of 71554 and 71568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71554 and 71568.

How to find the GCF of 71554 and 71568?

We will first find the prime factorization of 71554 and 71568. After we will calculate the factors of 71554 and 71568 and find the biggest common factor number .

Step-1: Prime Factorization of 71554

Prime factors of 71554 are 2, 7, 19, 269. Prime factorization of 71554 in exponential form is:

71554 = 2¹ × 7¹ × 19¹ × 269¹

Step-2: Prime Factorization of 71568

Prime factors of 71568 are 2, 3, 7, 71. Prime factorization of 71568 in exponential form is:

71568 = 2⁴ × 3² × 7¹ × 71¹

Step-3: Factors of 71554

List of positive integer factors of 71554 that divides 71554 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 269, 538, 1883, 3766, 5111, 10222, 35777

Step-4: Factors of 71568

List of positive integer factors of 71568 that divides 71554 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 71, 72, 84, 112, 126, 142, 144, 168, 213, 252, 284, 336, 426, 497, 504, 568, 639, 852, 994, 1008, 1136, 1278, 1491, 1704, 1988, 2556, 2982, 3408, 3976, 4473, 5112, 5964, 7952, 8946, 10224, 11928, 17892, 23856, 35784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71554 and 71568. The biggest common factor number is the GCF number.
So the greatest common factor 71554 and 71568 is 14.

Also check out the Least Common Multiple of 71554 and 71568