What is the Greatest Common Factor of 71048 and 71064?

Greatest common factor (GCF) of 71048 and 71064 is 8.

GCF(71048,71064) = 8

We will now calculate the prime factors of 71048 and 71064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71048 and 71064.

How to find the GCF of 71048 and 71064?

We will first find the prime factorization of 71048 and 71064. After we will calculate the factors of 71048 and 71064 and find the biggest common factor number .

Step-1: Prime Factorization of 71048

Prime factors of 71048 are 2, 83, 107. Prime factorization of 71048 in exponential form is:

71048 = 2³ × 83¹ × 107¹

Step-2: Prime Factorization of 71064

Prime factors of 71064 are 2, 3, 7, 47. Prime factorization of 71064 in exponential form is:

71064 = 2³ × 3³ × 7¹ × 47¹

Step-3: Factors of 71048

List of positive integer factors of 71048 that divides 71048 without a remainder.

1, 2, 4, 8, 83, 107, 166, 214, 332, 428, 664, 856, 8881, 17762, 35524

Step-4: Factors of 71064

List of positive integer factors of 71064 that divides 71048 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 47, 54, 56, 63, 72, 84, 94, 108, 126, 141, 168, 188, 189, 216, 252, 282, 329, 376, 378, 423, 504, 564, 658, 756, 846, 987, 1128, 1269, 1316, 1512, 1692, 1974, 2538, 2632, 2961, 3384, 3948, 5076, 5922, 7896, 8883, 10152, 11844, 17766, 23688, 35532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71048 and 71064. The biggest common factor number is the GCF number.
So the greatest common factor 71048 and 71064 is 8.

Also check out the Least Common Multiple of 71048 and 71064